Mathematics of Climate Modeling

Providing an introduction to a branch of climate theory - the study of climate by means of the quality theory of partial differential equations, this text is oriented towards specialists and graduates in geophysical hydrodynamics and climate modelling. The first part of the book concentrates on current theory of infinite-dimensional and finite-dimensional nonlinear dissipative systems. Section two of the text contains the results of analysis of climate models of different complexity from barotropic models to models based on the full system of hydrothermodynamics equations.